Base | Representation |
---|---|
bin | 10000011000101000100 |
3 | 1000021111012 |
4 | 2003011010 |
5 | 114140100 |
6 | 15301352 |
7 | 4364210 |
oct | 2030504 |
9 | 1007435 |
10 | 536900 |
11 | 337421 |
12 | 21a858 |
13 | 15a4c0 |
14 | dd940 |
15 | a9135 |
hex | 83144 |
536900 has 72 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 167040.
The previous prime is 536891. The next prime is 536909. The reversal of 536900 is 9635.
Added to its reverse (9635) it gives a triangular number (546535 = T1045).
It is an interprime number because it is at equal distance from previous prime (536891) and next prime (536909).
It is a super-2 number, since 2×5369002 = 576523220000, which contains 22 as substring.
It is a nialpdrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (536909) by changing a digit.
536900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9071 + ... + 9129.
2536900 is an apocalyptic number.
536900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).
536900 is an abundant number, since it is smaller than the sum of its proper divisors (921340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
536900 is a wasteful number, since it uses less digits than its factorization.
536900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 23.
The square root of 536900 is about 732.7346040689. The cubic root of 536900 is about 81.2764016764.
Adding to 536900 its reverse (9635), we get a triangular number (546535 = T1045).
The spelling of 536900 in words is "five hundred thirty-six thousand, nine hundred".
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